Question

The Ampere Maxwell Law for the region having point $Y$ is -



$i_c$ is conduction current and $i_d$ is displacement current.

• A. $\oint \overrightarrow{B}.\overrightarrow{dl}=2{\mu }_0{i}_c$
• B. $\oint \overrightarrow{B}.\overrightarrow{dl}={\mu }_0{i}_c$
• C. $\oint \overrightarrow{B}.\overrightarrow{dl}={\mu }_0{i}_d$
• D. $\oint \overrightarrow{B}.\overrightarrow{dl}=0$

Answer 1

The correct option is C $\oint \overrightarrow{B}.\overrightarrow{dl}={\mu }_0{i}_d$


We know that, modified Ampere's circuital law is,

$\oint \overrightarrow{B}.\overrightarrow{dl}={\mu }_0(i_c+i_d)$

In the region having point $Y$, $i_c=0$, so,

$\oint \overrightarrow{B}.\overrightarrow{dl}={\mu }_0{i}_d$

Hence, option $\left(C\right)$ is the correct answer.